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Finding the Fourth Proportional to 362.28, 541.11 and 245.76

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Solution

The fourth proportional to 362.28, 541.11 and 245.76 is: 367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.28 : 541.11 = 245.76 : x
  2. Step 2: Convert to fraction form
    362.28/541.11 = 245.76/x
  3. Step 3: Cross multiply
    362.28x = 541.11 × 245.76
  4. Step 4: Simplify right side
    362.28x = 132,983.19
  5. Step 5: Solve for x
    x = 132,983.19/362.28
  6. Step 6: Final answer
    x = 367.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.